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Finding the Fourth Proportional to 2,518.64, 3,773.70 and 1,542.71

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Solution

The fourth proportional to 2,518.64, 3,773.70 and 1,542.71 is: 2,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.64 : 3,773.70 = 1,542.71 : x
  2. Step 2: Convert to fraction form
    2,518.64/3,773.70 = 1,542.71/x
  3. Step 3: Cross multiply
    2,518.64x = 3,773.70 × 1,542.71
  4. Step 4: Simplify right side
    2,518.64x = 5,821,698.14
  5. Step 5: Solve for x
    x = 5,821,698.14/2,518.64
  6. Step 6: Final answer
    x = 2,311.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.